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In this paper, we present the periodic modifier-adaptation formulation of the dynamic real time optimization. The proposed formulation uses gradient information to update the problem with affine modifiers so that, upon convergence, its…

Optimization and Control · Mathematics 2023-09-19 Victor Mirasierra , Daniel Limon

In distributed model predictive control (MPC), the control input at each sampling time is computed by solving a large-scale optimal control problem (OCP) over a finite horizon using distributed algorithms. Typically, such algorithms require…

Systems and Control · Electrical Eng. & Systems 2023-03-28 Giuseppe Belgioioso , Dominic Liao-McPherson , Mathias Hudoba de Badyn , Nicolas Pelzmann , John Lygeros , Florian Dörfler

We present the molecular hyperdynamics algorithm and its implementation to the nonorthogonal tight-binding model NTBM and the corresponding software. Due to its multiscale structure, the proposed approach provides the long time scale…

Spontaneous crystallization of metals under extreme conditions is a unique phenomenon occurring under far-from-equilibrium conditions that could enable the development of revolutionary and disruptive metastable metals with unusual…

Materials Science · Physics 2023-06-14 Sina Malakpour Estalaki , Tengfei Luo , Khachatur V. Manukyan

Accurate parameter dependent electro-chemical numerical models for lithium-ion batteries are essential in industrial application. The exact parameters of each battery cell are unknown and a process of estimation is necessary to infer them.…

Statistics Theory · Mathematics 2024-04-25 Andrea Petrocchi , Matthias K. Scharrer , Franz Pichler , Stefan Volkwein

Dynamic flux balance analysis uses a quasi-steady state assumption to calculate an organism's metabolic activity at each time-step of a dynamic simulation, using the well-known technique of flux balance analysis. For microbial communities,…

Quantitative Methods · Quantitative Biology 2021-01-27 James D. Brunner , Nicholas Chia

Apoptosis is an important area of research because of its role in keeping a mature multicellular organism's number of cells constant hence, ensuring that the organism does not have cell accumulation that may transform into cancer with…

Molecular Networks · Quantitative Biology 2010-10-01 Elife Zerrin Bagci , Sercan Murat Sen , Mehmet Cihan Camurdan

We consider nonlinear model predictive control (MPC) with multiple competing cost functions. In each step of the scheme, a multiobjective optimal control problem with a nonlinear system and terminal conditions is solved. We propose an…

Optimization and Control · Mathematics 2022-07-01 Gabriele Eichfelder , Lars Grüne , Lisa Krügel , Jonas Schießl

We are interested in high-order linear multistep schemes for time discretization of adjoint equations arising within optimal control problems. First we consider optimal control problems for ordinary differential equations and show loss of…

Numerical Analysis · Mathematics 2018-07-24 Giacomo Albi , Michael Herty , Lorenzo Pareschi

Lately, the problem of designing multi-stage dynamic mechanisms has been shown to be both theoretically challenging and practically important. In this paper, we consider the problem of designing revenue optimal dynamic mechanism for a…

Computer Science and Game Theory · Computer Science 2016-07-07 Vahab Mirrokni , Renato Paes Leme , Pingzhong Tang , Song Zuo

Charges and their contribution to protein-protein interactions are essential for the key structural and dynamic properties of monoclonal antibody (mAb) solutions. In fact, they influence the apparent molecular weight, the static structure…

Recently, the technique of counterdiabatic driving, which provides an effective strategy for accelerating adiabatic quantum evolution, has been widely applied in the preparation of many-body quantum states. In this work, we propose a…

Quantum Physics · Physics 2026-05-15 Fengzhe Tang , Gangcheng Wang

Bioprocesses are often characterized by nonlinear and uncertain dynamics. This poses particular challenges in the context of model predictive control (MPC). Several approaches have been proposed to solve this problem, such as robust or…

Quantitative Methods · Quantitative Biology 2023-12-08 Niels Krausch , Martin Doff-Sotta , Mark Canon , Peter Neubauer , Mariano Nicolas Cruz Bournazou

Event-driven molecular dynamics simulations are carried out on two rigid body systems which differ in the symmetry of their molecular mass distributions. First, simulations of methane in which the molecules interact via discontinuous…

Statistical Mechanics · Physics 2007-05-23 Lisandro Hernandez de la Pena , Ramses van Zon , Jeremy Schofield , Sheldon B. Opps

Alternating Direction Method of Multipliers (ADMM) algorithm has been widely adopted for solving the distributed optimization problem (DOP). In this paper, a new distributed parallel ADMM algorithm is proposed, which allows the agents to…

Optimization and Control · Mathematics 2021-11-23 Ziye Liu , Fanghong Guo , Wei Wang , Xiaoqun Wu

Antibody design remains a critical challenge in therapeutic and diagnostic development, particularly for complex antigens with diverse binding interfaces. Current computational methods face two main limitations: (1) capturing geometric…

Machine Learning · Computer Science 2025-06-27 Jiameng Chen , Xiantao Cai , Jia Wu , Wenbin Hu

Computational determination of the equilibrium state of heterogeneous phospholipid mem-branes is a significant challenge. We wish to explore the rich phase diagram of these multi-component systems. However, the diffusion and mixing times in…

Biological Physics · Physics 2020-10-28 Yevhen K. Cherniavskyi , Arman Fathizadeh , Ron Elber , D. Peter Tieleman

Suboptimal model predictive control is a technique that can reduce the computational cost of model predictive control (MPC) by exploiting its robustness to incomplete optimization. Instead of solving the optimal control problem exactly,…

Systems and Control · Computer Science 2019-05-08 Dominic Liao-McPherson , Marco Nicotra , Ilya Kolmanovsky

Machine learning is emerging as a technology that can enhance physics experiment execution and data analysis. Here, we apply machine learning to accelerate the production of a Bose-Einstein condensate (BEC) of $^{87}\mathrm{Rb}$ atoms by…

Therapeutic antibodies require not only high-affinity target engagement, but also favorable manufacturability, stability, and safety profiles for clinical effectiveness. These properties are collectively called `developability'. To enable a…

Machine Learning · Computer Science 2025-07-04 Siqi Zhao , Joshua Moller , Porfi Quintero-Cadena , Lood van Niekerk
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